John, Here is the answer to your question.

Marine Waters Fishing Licenses

Marine Waters Fishing Licenses are required for anyone 16 years of age or older fishing from shore or from a boat in the marine district or landing marine fish or bait species in Connecticut taken from offshore waters. Licenses are issued on a calendar year basis and expire on December 31st. Please see Marine Waters Fishing License FAQ page for more information.

The link is below, Scroll down to the Marine Waters Fishing Licenses

For some reason i can not make the 1st link a clickable link, you will have to copy and paste the link, I tried about 3 times to make it a clickable link to no avail.

http://www.ct.gov/dep/cwp/view.asp?a=2696&q=322716&depNav_GID=1630&depNav=|

Also here is the link to the Marine Waters Fishing License FAQ page for the above link.

http://www.ct.gov/dep/cwp/view.asp?a=2696&q=443060&depNav_GID=1630

The 2nd link has a little more information.